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Fitting block models with covariates:”Likelihood” methods ,sparsity and selection of the number of blocks

Presented by: 
Peter Bickel University of California, Berkeley
Date: 
Thursday 14th July 2016 - 12:00 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 

 

 

Co-authors: Purna Sarkar (U. of Texas,Austin), Soumendu Mukherjee (U C, Berkeley), Sharmodeep Bhattacharyya, (Oregon State University)
We introduce block models with edge and block covariates ,along the lines of Hoff, Handcock,Raftery (2002) ,specializing to covariate forms of the types proposed by Zhao, Levina,Zhu(2014) and generalizing that of Newman ,Clauset(2015)..WE study mean field variational fitting in this situation along the lines of Celisse,Daudin,Pierre( 2011 ) and B.,Choi,Chang,Zhang (2013).Using theory,examples, and simulations we argue that these methods ,possibly regularized lead to models with a sparse number of blocks. 

 

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons